Vertical vibrations of a rigid massive cylindrical foundation embedded in saturated soil under vertical time-harmonic loading were investigated by using Hankel integral transform based on Biot poroelastodynamic theory.

Then,through the response analysis of the proposed model under the triaxial harmonic loading condition,the mechanical performances of the lead-rubber bearing affected by the axial effect are discussed.

Fundamental formulations for harmonic load acting in the interior of Gibson surgrade distributing versus depth;

The reliability index of single-layer spherical shell under the vertical harmonic load are studied in the paper.

Through simultaneously considering geometric non-linear and material non-linear,the dynamic responses of single-layer spherical latticed shells subjected to harmonic loads and step loads were researched respectively,and the most unfavorable dynamic loads of the structure were analyzed.

The feasibility and effectiveness of MR-TMD for structural vibration control under harmonic excitations were simulated and analyzed by using the semi-active control algorithms proposed by the authors.

Failure mechanism of latticed shells subjected to harmonic actions;

In this paper,non-linear dynamic responses of single-layer spherical shells subjected to harmonic loads and step loads are analyzed,in which both the geometric non-linearity and the material non-linearity are all taken into account.